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stira [4]
3 years ago
11

Which of the following functions has an amplitude of 5 and passes through the point (0,0)?

Mathematics
1 answer:
dlinn [17]3 years ago
5 0
Im gonna need to know what the choices are
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Show that <br><br> 4(m + 7) + (m + 3)^2 = (m + 3)(m + 7) + 16
anygoal [31]

Step-by-step explanation:

4(m+7)+(m+3)^2=(m+3)(m+7)+16\\\\L_S=4(m+7)+(m+3)^2\\\\\text{use the distributive property}:a(b+c)=ab+ac\\\text{and formula}:\ (a+b)^2=a^2+2ab+b^2\\\\L_S=(4)(m)+(4)(7)+m^2+2(m)(3)+3^2\\\\L_S=4m+28+m^2+6m+9\qquad\text{combine like terms}\\\\L_S=m^2+(4m+6m)+(28+9)\\\\L_S=m^2+10m+37

R_S=(m+3)(m+7)+16\\\\\text{use FOIL}:(a+b)(c+d)=ac+ad+bc+bd\\\\R_S=(m)(m)+(m)(7)+(3)(m)+(3)(7)+16\\\\R_S=m^2+7m+3m+21+16\qquad\text{combine like terms}\\\\R_S=m^2+(7m+3m)+(21+16)\\\\R_S=m^2+10m+37\\\\\boxed{L_S=R_S}

4 0
3 years ago
Please solve for x<br><br> solve 2/3x - 1/5 &gt; 1
maxonik [38]

Answer:

x  > 9/5

There you go

6 0
3 years ago
The area of a rectangular pool is (15x-9) square
ch4aika [34]
Ok so find greatert common factor
ab+ac=a(b+c)

15x=3*5*x
9=3*3
gcf=3

15x-9=
3(5x)+3(-3)=
3(5x-3)

possible dimentions is 3 unit and 5x-3 units
3 0
3 years ago
Mia opens a coffee shop in the first week of January. The function W(x) = 0.002x3 - 0.01x2 models the total number of customers
Len [333]
We need to know the function that models the difference in the number of customers visiting the two stores.
 We know the function that models the number of customers in the cafeteria
 W (x) = 0.002x3 - 0.01x2
 We also know the function that models the number of customers who visit the ice cream parlor 
 R (x) = x2 - 4x + 13
 Therefore the difference, D (x), in the number of customers visiting the two stores is:
 D (x) = W (x) - R (x)
 D (x) = 0.002x ^ 3 - 0.01x ^ 2 - (x ^ 2 -4x +13)
 D (x) = 0.002x ^ 3 - 0.01x ^ 2 - x ^ 2 + 4x -13

D (x) = 0.002x ^ 3 - 1.01x ^ 2 + 4x -13
<span> The answer is the third option</span>

8 0
3 years ago
Read 2 more answers
I need to figure out how to find proportionality in a equation
Alla [95]

Answer:

Step-by-step explanation:to find the proportionlity it has to go through the origin (0,0) and has to be a straight line on a graph but, in a model label your measurements as x1 ,y1 ,x2, y2 because y2-y1/x2-x1 should give u a answer then do y/x

5 0
3 years ago
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